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Finding the Third Proportional to 14,835 and 20,025

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Solution

The third proportional to 14,835 and 20,025 is: 27,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835 : 20,025 = 20,025 : x
  2. Step 2: Convert to fraction form
    14,835/20,025 = 20,025/x
  3. Step 3: Cross multiply
    14,835x = 20,025 × 20,025
  4. Step 4: Simplify right side
    14,835x = 401,000,625
  5. Step 5: Solve for x
    x = 401,000,625/14,835
  6. Step 6: Final answer
    x = 27,030.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.